By using fundamental concepts of fractions we can conclude that Jarome can make 6 \(\frac{7}{8}\) pizzas with the leftover cheese.
Define fractions.Fractions are one of the most important aspects of arithmetic that we use in our daily lives. Fractions are denoted by the symbol / (also known as the fractional line) and represent a numerical value that is a portion of the total value, for example, a/b. Formulas for fractions aid in the development of rules for performing the four basic arithmetic operations of addition, subtraction, multiplication, and division.
Given data:
Cheese used for making 2 \(\frac{3}{4}\) pizza = 2 \(\frac{1}{2}\)
Cheese used for making 1 pizza = 2 \(\frac{1}{2}\) ÷ 2 \(\frac{3}{4}\)
Cheese used for making 1 pizza = 10/11
Number of pizza pies that can be made from 6 \(\frac{1}{4}\) cheese = 6 \(\frac{1}{4}\) ÷ 10/11
Number of pizza pies that can be made from 6 \(\frac{1}{4}\) cheese = 55/8
Number of pizza pies that can be made from 6 \(\frac{1}{4}\) cheese = 6 \(\frac{7}{8}\).
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this right? ppl giving me mixed answers
PlEASE HELPPPP
Answer:
Uh yeah Its right...i think
Just make sure if its right
There was 7/16 of a pizza left over.Matt ate 2/7 of the leftover pizza.What fraction of the whole pizza did matt eat
Answer:
14/112
Step-by-step explanation:
7/16 x 2/7 = 14/112
Answer:
14/112 (7/56)
Step-by-step explanation:
describe at least 1 way to solve linear equations? plss for 100, and brainiest.
Answer:
★ For example, Graphing is one of the simplest ways to solve a system of linear equations, all you have to do is graph each equation as a line and find the points where the lines two intersect.
Step-by-step explanation:
Hope you have a great day :)
Write in slope intercept form
M= -7, b= -4
Answer:
y = -7x -4
Step-by-step explanation:
Slope-intercept form: y = mx + b
given:
m = -7
b = -4
answer: y = -7x -4
hope this helps :)
A baseball team plays the same opponent six times in a season. The set {0,1,2,3,4,5,6} describes the possible number of wins for the six games.
Set A contains the number of wins when exactly four games are won.
Set B contains the number of wins when at least four games are won.
Which of these statements are true? Choose all that are correct.
The union of set A and B is an empty set
The complement of the union of set A and B is {0,1,2,3} set A
The complement of set B is {0,1,2,3}
The intersection of set A and set B is an empty set
The complement of set B is {1,2,3}
If x^y = y^x, then find dx/dy.
If x^y = y^x, then dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]
The given equation x^y = y^x can be rewritten as y = x * (ln y / ln x).
Using implicit differentiation, we get:
dy/dx = [1 * (ln y / ln x) + x * (1/y * (dy/dx) * ln y - 1/x)] / [(ln x)^2 / (ln y)]
Simplifying this expression, we get:
dy/dx = y/x * [(ln y - ln x) / (ln x - ln y * dy/dx)]
Therefore, the derivative dx/dy can be obtained by taking the reciprocal of dy/dx, giving:
dx/dy = x/y * [(ln x - ln y) / (ln y - ln x * dx/dy)]
Note that dx/dy may not have a closed-form solution, so we can only express it in terms of x and y.
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The positive GCF of -24y and -20 is 4. Complete each equation with an expression or integer factor.
The missing factor in the second equation is 1, and the completed equation is: -24y + (-5) = -4(6y + 5/4)
How to complete each equation with an expression or integer factor.We know that the GCF of -24y and -20 is 4. To find the missing factor in each equation, we can divide both terms by the GCF of 4.
For the first equation, we have:
-24y = 4 * (-6y)
Dividing both sides by 4, we get:
-6y = -24/4
Simplifying, we get:
-6y = -6
Therefore, the missing factor in the first equation is -1, and the completed equation is:
-24y + 20 = -4(6y - 5)
For the second equation, we have:
-20 = 4 * (-5)
Dividing both sides by 4, we get:
-5 = -20/4
Simplifying, we get:
-5 = -5/1
Therefore, the missing factor in the second equation is 1, and the completed equation is:
-24y + (-5) = -4(6y + 5/4)
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The population of Latvia in 1989 was 2 700 000. In 1994 it was 2 500 000. Calculate the percentage decrease in the population between 1989 and 1994
Answer:
7.4%
Step-by-step explanation:
Given parameters:
Population of Latvia in 1989 = 2700000
Population of Latvia in 1994 = 2500000
Unknown:
Percentage decrease in population = ?
Solution:
The change in population;
Change in population = 2700000-2500000 = 200000
Percentage decrease = \(\frac{Population change }{Population in 1989} x 100\)
Percentage decrease = \(\frac{200000}{2700000}\) x 100 = 7.4% decrease
write your unswer in simplest form 1 /8 ×2/3
The simplest form of the expression (1/8) × (2/3) is 1/12.
To simplify the expression (1/8) × (2/3), you multiply the numerators together and the denominators together.
The numerator is 1 multiplied by 2, which equals 2.
The denominator is 8 multiplied by 3, which equals 24.
Therefore, the simplified form of the expression is 2/24.
However, we can simplify it further by dividing both the numerator and the denominator by their greatest common divisor, which is 2.
When we divide 2 by 2, we get 1, and when we divide 24 by 2, we get 12.
So, the simplest form of the expression (1/8) × (2/3) is 1/12.
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The length of Joe's arm is 28 inches. The length of his lower arm is 21 inches. What percent of Joe's arm is his lower arm?
Answer:
75%
Step-by-step explanation:
You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%
Answer:
75%
Step-by-step explanation:
You take the length of the lower arm, 21, and divide it by the total length, 28. Your equation should be 21/28 = 3/4 =.75. 0.75 is equal to 75%
Select the correct answer. Positive Test Negative Test Subject is diabetic 35 3 Subject is not diabetic 5 28 A test subject is randomly selected for a diabetes test. What is the probability of getting a subject who is not diabetic, given that the test result is negative? Find the probability using the data table. A. 0.10 B. 0.12 C. 0.50 D. 0.90
The probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
To find the probability of getting a subject who is not diabetic, given that the test result is negative, we can use the data provided in the table. From the table, we can see that out of the total subjects tested, 5 are not diabetic and have a negative test result. The total number of subjects with a negative test result is 28.
To calculate the probability, we divide the number of subjects who are not diabetic and have a negative test result (5) by the total number of subjects with a negative test result (28).
Probability = Number of subjects who are not diabetic and have a negative test result / Total number of subjects with a negative test result
Probability = 5 / 28
Simplifying this fraction, we get:
Probability ≈ 0.1786
Therefore, the probability of getting a subject who is not diabetic, given that the test result is negative, is approximately 0.1786.
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the radius of the earth - the distance from surface to core - is 6,370 kilometers. the planet neptune is 24,620 kilometers. if a scale model of the earth is drawn with a radius of 2.5 centimeters, how large would a scale model of neptune have to be drawn? group of answer choices 9848 cm 9.7 cm 2548 cm 0.02548 cm 3.86 cm
We may build up a proportion and solve for the scale model radius of Neptune using the ratio between the radii of the two planets and the known scale model radius of the Earth. The scale model of Neptune that is produced has a radius of around 9.7 cm.
We may take advantage of the fact that the ratio between the two planets' radii and the ratio between their respective scale model radii is the same. Let's name the Neptune scale model radius "r" Then, we may set up the ratio shown below:
Neptune's radius is equal to the product of Earth's radius and its scale model.
With the provided values, we may simplify and obtain:
24620 km / 6370 km equals 2.5 cm / r
We obtain the following when solving for "r":
r = (24620 km * 2.5 cm) / (6370 km)
r ≈ 9.7 cm
Therefore, a scale model of Neptune would have to be drawn with a radius of approximately 9.7 cm.
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the seventh term of a geometric sequence is 5 and the tenth term is 16.875. find the fifteenth term of this sequence. give your answer exactly as a fraction in fully simplified form or approximately as a decimal rounded to three decimal places.
The approximate value of the fifteenth term is 244.141 or it can also be written as 244 1/8.
The seventh term of a geometric sequence is 5 and the tenth term is 16.875. The given information shows that a=5 and a10=16.875.
We have to find a15. Since the sequence is geometric, therefore the common ratio (r) can be determined from this information as below; a10 = ar9 16.875 = 5r9 r = (16.875)/5r9 r = 1.25On substituting the values of a, r and n in the nth term formula of a geometric sequence,
we can determine the value of a15 as below; an = arn-1 a15 = 5 × (1.25)14 a15 = 244.140625So, the fifteenth term of the sequence is 244.140625 (approximately).
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i5=
Answer choices :
I
-I
1
-1
Answer:
A. i
Step-by-step explanation:
Hope it helped! Have a good day. <3
city x is 440 miles due north of city y. find the difference in latitude of the cities [use 3690 miles as radius of earth.]
The distance between City X and City Y = 440 miles Radius of the Earth, R = 3690 miles Let’s consider two cities X and Y, as shown below. As shown in the figure above, the difference in latitude of the two cities will be the arc length between point P and Q.
So, we need to find the arc PQ, which is the difference in latitude. We have given the distance XY, which is nothing but the chord length. Let’s find the angle subtended by the chord XY at the center of the Earth O. We can find this angle using the formula;angle = (chord length/2*radius of the earth)angle = (440/2*3690) angle
= 0.06 radians Now, we can find the arc PQ by using the formula;arc length PQ = radius of the earth * angle subtended by the chord PQ arc length PQ = 3690 * 0.06 arc length
PQ = 221.4 miles
Therefore, the difference in latitude between City X and City Y is 221.4 miles.
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Which one of the following r2 values is associated with the line explaining the most variation in y?
a.98%.
b.57%.
c. 76%.
d. 84%.
The R2 value associated with the line explaining the most variation in y is option a, 98%.
The R2 value, also known as the coefficient of determination, represents the proportion of variation in the dependent variable (y) that is explained by the independent variable(s) in a regression model. R2 ranges from 0 to 1, where 0 indicates that the model explains none of the variation in y and 1 indicates that the model explains all of the variation in y.
Comparing the given options, the highest R2 value is 98% (option a), which means that the regression line in this model explains 98% of the variation in y. This indicates a very strong relationship between the independent variable(s) and the dependent variable, with only 2% of the variation in y remaining unexplained by the model.
Therefore, the correct answer is option a, 98%
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What is the conjugate? x - square root 2
Answer:
conjugate of (x-\(\sqrt{2}\)) is (x+\(\sqrt{2}\))
Step-by-step explanation:
Which represents the polynomial written in standard form? 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 – 7xy3 –7xy3 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction 4x4 4x4 – 7xy3 – StartFraction 3 x cubed y Over 2 EndFraction 8x2y2 4x4 8x2y2 – StartFraction 3 x cubed y Over 2 EndFraction – 7xy3 –7xy3 – StartFraction 3 x cubed y Over 2 EndFraction 8x2y2 4x4.
Polynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign. The given option the option A matches correctly with the above polynomial equation which is,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
Hence the option A is the correct option.
Given information-The given polynomial equation in the problem is,
\(8x^2y^2-\dfrac{3x^3y}{2}+4x^4-7xy^3\)
Polynomial equationPolynomial equation is a equation which is formed with coefficients variables and exponents with basic mathematics operation and equality sign.
In the above polynomial equation the variable are x and y and the highest power of the variable x is four and highest power of the variable y is three.
Arrange the polynomial equation in the power of the variable x. Thus,
\(4x^4-\dfrac{3x^3y}{2}+8x^2y^2-7xy^3\)
Arrange the polynomial equation in the power of the variable y. Thus,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
From the given option the option A matches correctly with the above polynomial equation which is,
\(-7xy^3+8x^2y^2-\dfrac{3x^3y}{2}+4x^4\)
Thus the option A is the correct option.
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Answer:
answer is a
Step-by-step explanation:
a jar contains eight marbles. one of them is blue. if five marbles are independently drawn from the jar, what is closest to the probability that the blue marble is drawn twice? group of answer choices 0.001 0.015 0.105 0.196 not enough information given
The answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.
We can solve this problem using the hypergeometric probability distribution. The hypergeometric distribution is used when we have a finite population and we want to calculate the probability of drawing a certain number of objects of a specific type without replacement.
In this case, the population consists of 8 marbles, one of which is blue. We want to calculate the probability of drawing the blue marble twice when we draw 5 marbles without replacement. The number of ways to choose 5 marbles out of 8 is given by the binomial coefficient:
C(8,5) = 56
The number of ways to choose the blue marble twice and the other three marbles from the remaining 7 is:
C(1,2) * C(7,3) = 35
Therefore, the probability of drawing the blue marble twice is:
P = 35/56 = 0.625.
The closest answer choice to this probability is 0.196. Therefore, the answer is closest to 0.196. This means that if we repeat the experiment many times, we would expect to draw the blue marble twice in approximately 19.6% of the trials.
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Please help!!
For each system of equations, use substitution or elimination to find the solution. Next, analyze your solution to determine if it makes sense in the context.
For each system of inequalities, find the solution region by graphing. Only graph viable solutions. Next, give two examples of solutions that would work in the situation.
Q.1. The total cost for 14 tickets to a concert is $462. Lawn tickets cost $26 each, and pavilion seats are $54 each. How many of each type of ticket were sold?
10.5 lawn tickets and 3.5 pavilion seats were sold, which equals the total cost of $462.
We can utilise substitution to solve this set of equations. Let x represent the number of lawn tickets and y represent the number of pavilion seats. We can create two equations to represent the total cost of the tickets.
26x + 54y = 462
x + y = 14
To find the value of y, we can change the value of x from the second equation into the first equation.
26(14 - y) + 54y = 462
364 - 26y + 54y = 462
-26y + 54y = 462 - 364
28y = 98
y = 3.5
The second equation can then be solved for x by reintroducing the value of y.
x + 3.5 = 14
x = 10.5
This means that 10.5 lawn tickets were sold, and 3.5 pavilion seats were sold. To check if this solution makes sense, we can substitute our answer into the first equation to calculate the total cost.
26(10.5) + 54(3.5) = 462
This equation does equal 462, so our solution is correct. This makes sense in the context because it is a valid combination of tickets that adds up to the total cost of $462.
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Suppose phone calls to a certain call center occur according to a Poisson distribution, and the average rate throughout the process equals 4 calls per 15 minutes. Measured in minutes, the time until the next 10 phone calls occur is Gamma (more specifically, Erlang) with what shape and rate parameters
The shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.
To determine the shape and rate parameters of the Gamma distribution, we need to relate it to the Poisson distribution.
In the Poisson distribution, the average rate (λ) is equal to the shape parameter (k) multiplied by the rate parameter (θ). In this case, the average rate is 4 calls per 15 minutes, so λ = 4/15.
For the Gamma distribution, the shape parameter (k) is equal to the number of phone calls (n), and the rate parameter (θ) is equal to the reciprocal of the average rate (λ). Therefore, k = 10 and θ = 1/λ.
Substituting the value of λ, we have k = 10 and θ = 15/4.
So, the shape parameter of the Gamma distribution is 10 and the rate parameter is 15/4.
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Determine the intercepts of the line 4x-1=3y+5
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
A shirt that cost 60 dollars is now on sale for 30% off what is the value of the discount? Using the answer you found to find the difference between the original price and the amount of the discount
Answer:
you $42 and your saving $18
Step-by-step explanation:
Answer:
$42 would be the cost of the shirt after the discount. The difference between the price of the shirt before the discount, and after is $18.
Step-by-step explanation:
If you divide 60 by 100, you would get the value for 1% of $60. If you multiply that number by the discount amount, you get the amount that is going to be subtracted from the cost when the discount is applied.
60 / 100 = 0.6
0.6 x 30 = 18 (This is the difference)
60 - 18 = 42 (This is the value after the discount)
Thus the value after the discount is $42, and he difference between the 2 values is $18.
1. Julia wants to buy a parcel of land in Montana so that she can raise bison. If the minimum down
payment on the land is $25,000, find the amount she must invest now at 8%, compounded quarterly,
to have her down payment in 4 years. Use the table of values below.
$16,542.98
$17,230.91
$19.235.12
O$18.211.25
Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
How did we get this value?We can use the formula for the future value of an annuity with regular deposits to find the amount that Julia needs to invest now:
FV = P * ((1 + r/n)^(n*t) - 1) / (r/n)
where:
P = quarterly deposit
r = annual interest rate = 8%
n = number of compounding periods per year = 4 (quarterly)
t = number of years = 4
FV = future value of the annuity (i.e. the down payment)
We want to solve for P, which is the amount Julia needs to invest each quarter. Rearranging the formula, we get:
P = FV * (r/n) / ((1 + r/n)^(n*t) - 1)
Substituting the given values, we get:
P = 25,000 * (0.08/4) / ((1 + 0.08/4)^(4*4) - 1)
P ≈ $4,901.43
So Julia needs to invest $4,901.43 every quarter for 4 years to have a down payment of $25,000. Checking the table of values, we see that the closest answer is $4,542.98, so that is the amount she needs to invest.
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The parallelogram shown below has an area of 140
what is the difference between ka and kb and what is the mathematical relationship between them?
Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.
Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.
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2) What is the relationship between the coefficient of f(x)=a/x/ and its effects on the graph?
Greetings from Brasil...
The coefficient a in a linear function (or even a modular function) implies the slope of the function line. The higher the value of a, the greater the slope of the line. the lower the value of a, the lower the slope of the line
The length of the longer leg of a 30-60-90 triangle is 18. What is the length of the short leg? Round to the nearest tenth. What is the length of the hypotenuse?
Round to the nearest tenth.
The length of the triangle is given by
a) Shorter side = 10.4 units
b) Hypotenuse = 36 units
Given data ,
Let the triangle be represented as ΔABC
Now , the measure of the longer length of the triangle is = 18 units
And , In a 30-60-90 triangle, the ratio of the side lengths is:
short leg : long leg : hypotenuse = 1 : √3 : 2
On simplifying , we get
a : b : c = 1 : √3 : 2
So , the length of shorter side a = 18 / √3
a = 10.4 units
And , the hypotenuse of the triangle c = 2 x ( 18 )
c = 36 units
Hence , the lengths of the triangle are solved
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How many x-intercepts does the graph of y=2x^2-4x+2 have?
A.0
B.1
C.2
Answer:
B. 1
Step-by-step explanation:
Please see attachment.
Hope this helps!
If not, I am sorry.
Thanks been trying for ages
Answer:
x₁ = 3,29296875
x₂ = 3,276659786
x₃ = 3,279420685
Step-by-step explanation:
This is a recurrent relationship between xₙ₊₁ and xₙ
To get x₁, write the formula with n=0:
\(x_1 = 3+ \frac{3}{x_0^2}\)
Then fill in what you know, x₀=3.2. This gives you x₁.
Repeat for n=1,... and so forth.
Excel can do this effectively, see picture.